Choosing the Appropriate Special Product Pattern for , , , and
Choose the correct pattern—Binomial Squares, Product of Conjugates, or general FOIL—for each product, then compute the result.
ⓐ : The two binomials do not share the same pair of first and last terms, so neither special product pattern applies. Use the FOIL method:
ⓑ : A single binomial is squared, so use the Binomial Squares Pattern , with and :
ⓒ : Again, a single binomial is squared. Use , with and :
ⓓ : The binomials share the same first term and the same last term , with one using subtraction and the other addition; they are conjugates. Apply the Product of Conjugates Pattern , with and :
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Ch.5 Polynomials and Polynomial Functions - Intermediate Algebra @ OpenStax
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